TSTP Solution File: LCL800-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : LCL800-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 14:40:07 EDT 2022
% Result : Unsatisfiable 9.66s 9.85s
% Output : Refutation 9.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 12 RR)
% Number of literals : 12 ( 0 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 9 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(343,axiom,
equal(c_Lambda_OdB_OApp(c_Lambda_Osubst(u,v,w),c_Lambda_Osubst(x,v,w)),c_Lambda_Osubst(c_Lambda_OdB_OApp(u,x),v,w)),
file('LCL800-1.p',unknown),
[] ).
cnf(346,axiom,
equal(c_Lambda_Osubst(c_Lambda_OdB_OVar(u),v,u),v),
file('LCL800-1.p',unknown),
[] ).
cnf(352,axiom,
equal(v_i____,v_n____),
file('LCL800-1.p',unknown),
[] ).
cnf(362,axiom,
equal(c_Lambda_Osubst(c_Lambda_Olift(u,v),w,v),u),
file('LCL800-1.p',unknown),
[] ).
cnf(367,axiom,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_i____),c_HOL_Ozero__class_Ozero(tc_nat))),
file('LCL800-1.p',unknown),
[] ).
cnf(390,axiom,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_i____))),
file('LCL800-1.p',unknown),
[] ).
cnf(391,plain,
~ c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_n____))),
inference(rew,[status(thm),theory(equality)],[352,390]),
[iquote('0:Rew:352.0,390.0')] ).
cnf(399,plain,
c_InductTermi_OIT(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat))),c_Lambda_Osubst(v_a____,v_u____,v_n____),c_HOL_Ozero__class_Ozero(tc_nat))),
inference(rew,[status(thm),theory(equality)],[352,367]),
[iquote('0:Rew:352.0,367.0')] ).
cnf(32196,plain,
equal(c_Lambda_Osubst(c_Lambda_OdB_OApp(c_Lambda_Olift(u,v),w),x,v),c_Lambda_OdB_OApp(u,c_Lambda_Osubst(w,x,v))),
inference(spr,[status(thm),theory(equality)],[362,343]),
[iquote('0:SpR:362.0,343.0')] ).
cnf(32219,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Lambda_Osubst(v_a____,v_u____,v_n____),c_HOL_Ozero__class_Ozero(tc_nat)))),
inference(rew,[status(thm),theory(equality)],[32196,399]),
[iquote('0:Rew:32196.0,399.0')] ).
cnf(32221,plain,
c_InductTermi_OIT(c_Lambda_OdB_OApp(v_u____,c_Lambda_Osubst(v_a____,v_u____,v_n____))),
inference(rew,[status(thm),theory(equality)],[346,32219]),
[iquote('0:Rew:346.0,32219.0')] ).
cnf(32222,plain,
$false,
inference(mrr,[status(thm)],[32221,391]),
[iquote('0:MRR:32221.0,391.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : LCL800-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 00:09:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.66/9.85
% 9.66/9.85 SPASS V 3.9
% 9.66/9.85 SPASS beiseite: Proof found.
% 9.66/9.85 % SZS status Theorem
% 9.66/9.85 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.66/9.85 SPASS derived 25564 clauses, backtracked 0 clauses, performed 0 splits and kept 4137 clauses.
% 9.66/9.85 SPASS allocated 93274 KBytes.
% 9.66/9.85 SPASS spent 0:00:09.32 on the problem.
% 9.66/9.85 0:00:00.05 for the input.
% 9.66/9.85 0:00:00.00 for the FLOTTER CNF translation.
% 9.66/9.85 0:00:00.22 for inferences.
% 9.66/9.85 0:00:00.00 for the backtracking.
% 9.66/9.85 0:00:08.97 for the reduction.
% 9.66/9.85
% 9.66/9.85
% 9.66/9.85 Here is a proof with depth 1, length 12 :
% 9.66/9.85 % SZS output start Refutation
% See solution above
% 9.66/9.85 Formulae used in the proof : cls_subst__App_0 cls_subst__eq_0 cls_True_0 cls_subst__lift_0 cls_CHAINED_0 cls_conjecture_0
% 9.66/9.85
%------------------------------------------------------------------------------